MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 1

 

MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 1

FIRST TERM EXAMINATION 2021

SUBJECT: MATHEMATICS

CLASS: S.S.S.1

1. Convert 10101102 to base ten       (a) 86      (b) 2951      (c) 199      (d) 718

2. Convert 207710 to base eight     (a) 1100101      (b) 4035       (c)  112020        (d) 3504

3. Convert 1.1012 bicimals to decimals      (a) 6.251     (b) 62.51      (c) 1.625      (d) 2.375

4. Simplify x½   = 4      (a)  64     (b) 46      (c)  32       (d) 16

5. Express 0.0078 in standard form    (a) 0.78 x 10-3 (b) 0.78 x 103   (c) 7.8 x 10-3 (d) 7.8 x 10-3

6. Evaluate 34.83 ÷ 5.427 using logarithm table    (a) 18.91    (b) 1.891   (c)  1891   (d) 189.1

7. Convert 101213 to base ten      (a) 52    (b) 85    (c)  97     (d) 100

8. Which of the following is equal to 4/5   (a) 16/15 (b) 20/25 (c) 16/20 (d) 10/20

9. Evaluate 2345 + 4345 leaving your answer in base five (a) 668  (b) 200  (c) 1303 (d) 1223

10. Evaluate 132334 ÷ 234 leaving your answer in base six  (a)  231 (b) 113  (c) 737  (d) 154

11. If (230)n = (1111)2 =  (1111) find the value of n     (a)  3     (b)  4     (c)  5   (d) 6

12. Simplify 8/27^2/3  (a) 2/3   (b) 2/9   (c) 4/9   (d) 4/3

13. Evaluate 491/2 x 30 x 43/2  (a)  56     (b) 63     (c) 28     (d) 14

14. Simplify 0.0027-2/3 (a) 9/100 (b) 3/10 (c) 100/9 (d) 10/3

15. If 2r3/2 = 54. Find the value of  r     (a)  3     (b) 27     (c)  81     (d) 9

16. In the equation 92x-1 x 33x-1 = 27x+3  Find the value of x    (a) 3    (b) 3/2    (c) 5    (d) 9

17. Express 392.5 in standard form  (a) 3.925 x 10-3 (b) 3.925 x 102   (c) 3.925 x 10-2   (d) 3.925 x 103

18. Express 1.03 x 10-3 in ordinary form  (a) 0.0013    (b) 0.013    (c)  0.00103    (d) 0.0103

19. If Log0.532 = x.  Find the value of x    (a) – 4      (b) – 5       (c) – 3      (d) 5

20. Find the value of Log381  (a) 2  (b) 3  (c)  4   (d) 9

21. Using logarithm tables, find the values of 8.4 x 18.7 x 7.23  (a) 1136  (b) 1026  (c)  11.36  (d) 102.6

22. If Log40.125 = m. Find the value of m    (a) – 3  (b) 2    (c) – 3/2 (d) -4/3

23. If Set A = (even numbers between 1 and 30) the n(A) is _____  (a) 15   (b) 14   (c)  13  (d) 12

24. Solve the equation (x – 2)(x+7) = 0  (a) x = 2 or – 7  (b) x =a – 7 or – 2 (c) x – 2 or 7  (d) x = 3 or 7

25. Solve the equation 3x + 2/6 – 2x – 7/9 (a) x = +4     (b) x = – 4      (c) x = +8     (d) x = – 8

26. If Set A = (All counting numbers less than 5) and Set B = (Even numbers less than 8). Find AυB    27. (a)  (1, 2, 3, 4, 6)    (b) (1, 2, 3, 4, 5)    (c)  (2, 4, 6)     (d) (3, 4, 5, 6)

28. If Set A = (11, 12, 13, 14) and  B = (w, x, y, z) Find  AnB  (a) Ø   (b) (11, 12, 13, 14, w, x, y, z)    (c) (11, 12, 13, 14)    (d) (w, x, y, z)

29. Given that set P = (1, 2, 3) and Q = (– 1, 0, 1, 2) find PnQ  (a) (2)   (b) (  )    (c) (– 1, 1)    (d) (1, 2)

30. Factorize x2 + 8x – 20 (a) (x + 10) (x – 2)    (b) (x – 10)(x – 2)    (c) (x – 10) (x+2)    (d) (x+10)2

Solve the equation 4 – 4x = 9 – 12x    (a) 8/5 (b) 5/8  (c) 1

SECTION B: THEORY

Answer any four questions

1. Simplify the following

(i) 1101two + 1101two

(ii) 1131six – 455six

2. Find the value of (i) logx0.0625   (ii) logx1/27   (iii) logx64

3. Solve the following equation

(i)   a(a + 3) = 0

(ii)  (m – 5)2 = 0

4. Solve the following equations

(i)  x^1/2 = 4

(ii)  8x = 32

5. Simplify the following

i. 16/54[1/2]

ii. 5^2(x – 1) x 5^x – 3 = 0.04

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